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Finding the Third Proportional to 249,093 and 396,549

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Solution

The third proportional to 249,093 and 396,549 is: 631,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,093 : 396,549 = 396,549 : x
  2. Step 2: Convert to fraction form
    249,093/396,549 = 396,549/x
  3. Step 3: Cross multiply
    249,093x = 396,549 × 396,549
  4. Step 4: Simplify right side
    249,093x = 157,251,109,401
  5. Step 5: Solve for x
    x = 157,251,109,401/249,093
  6. Step 6: Final answer
    x = 631,294.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.